This has come up a few times. Duplicate, anyone?
scala> trait Base
defined trait Base
scala> case class A(i: Int) extends Base
defined class A
scala> case class B(i: Int) extends Base
defined class B
scala> val vs = List(A(1), B(2), A(3))
vs: List[Product with Serializable with Base] = List(A(1), B(2), A(3))
scala> def f[T: reflect.ClassTag](vs: List[Base]) = vs collect { case x: T => x }
f: [T](vs: List[Base])(implicit evidence$1: scala.reflect.ClassTag[T])List[T]
scala> f[A](vs)
res0: List[A] = List(A(1), A(3))